Existence results for some fourth-order nonlinear elliptic problems

2001 ◽  
Vol 45 (1) ◽  
pp. 29-36 ◽  
Author(s):  
Zhang Jihui
2011 ◽  
Vol 92 (2) ◽  
pp. 411-423 ◽  
Author(s):  
Gabriele Bonanno ◽  
Pasquale F. Pizzimenti

2016 ◽  
Vol 5 (1) ◽  
Author(s):  
Massimiliano Ferrara ◽  
Giovanni Molica Bisci ◽  
Dušan Repovš

AbstractSome existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval of positive eigenvalues for which the problem admits at least one non-trivial weak solution.


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